What is the Greatest Common Factor of 34989 and 35004?

Greatest common factor (GCF) of 34989 and 35004 is 3.

GCF(34989,35004) = 3

We will now calculate the prime factors of 34989 and 35004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34989 and 35004.

How to find the GCF of 34989 and 35004?

We will first find the prime factorization of 34989 and 35004. After we will calculate the factors of 34989 and 35004 and find the biggest common factor number .

Step-1: Prime Factorization of 34989

Prime factors of 34989 are 3, 107, 109. Prime factorization of 34989 in exponential form is:

34989 = 3¹ × 107¹ × 109¹

Step-2: Prime Factorization of 35004

Prime factors of 35004 are 2, 3, 2917. Prime factorization of 35004 in exponential form is:

35004 = 2² × 3¹ × 2917¹

Step-3: Factors of 34989

List of positive integer factors of 34989 that divides 34989 without a remainder.

1, 3, 107, 109, 321, 327, 11663

Step-4: Factors of 35004

List of positive integer factors of 35004 that divides 34989 without a remainder.

1, 2, 3, 4, 6, 12, 2917, 5834, 8751, 11668, 17502

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34989 and 35004. The biggest common factor number is the GCF number.
So the greatest common factor 34989 and 35004 is 3.

Also check out the Least Common Multiple of 34989 and 35004